The number 88984
88984 is a composite number with 24 divisors. Its prime factorisation is × × 227. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 227, 392, 454, 908, 1589 … 88984.
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How to work it out
- 1
88984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88984 is composite. Its prime factorisation is
- 3
The divisors add up to 194940; without 88984 itself that is 105956, so 88984 is abundant (105956 is more than 88984). Euler's totient φ(88984) = 37968 numbers up to 88984 share no factor with it.
- 4
The digits of 88984 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88984 = 2^{3} \times 7^{2} \times 227 \]88984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 194940 |
| Euler totient φ(n) | 37968 |
| Square | 7918152256 |
| Cube | 704588860347904 |
| Square root | 298.301861 (= 14√454) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8984 × |
88984 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand nine hundred and eighty-four |
| Binary (base 2) | 10101101110011000 |
| Octal (base 8) | 255630 |
| Hexadecimal (base 16) | 15B98 |
| Base 3 | 11112001201 |
| As time | 88984 seconds = 24 h 43 min 4 s |
Is 88984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88984 ÷ 2 = 44492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88984 ÷ 4 = 22246) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88984 ÷ 7 = 12712) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (88984 ÷ 8 = 11123) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88984 a prime number?
No. 88984 = × × 227, so it is divisible by 2.
What are the factors of 88984?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 227, 392, 454, 908, 1589, 1816, 3178, 6356, 11123, 12712, 22246, 44492, 88984.
What is 88984 in binary?
10101101110011000 (hexadecimal 15B98, octal 255630).
What is the square root of 88984?
About 298.3019, exactly 14√454.
Is 88984 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 88984?
It is a composite number with 24 divisors.